摘要
说明了有理数域的任一子环的结构 .
In this short note, the structure of any subring of the rational field Q is described. Moreover it is proved that the complate lattice of the set of all subrings of Q under usual inclusion is completely anti isomorphic with the complete lattice of the power set of the set which consists of all prime numbers.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
2000年第1期14-16,共3页
Journal of Sichuan Normal University（Natural Science）
基金
国家自然科学基金!( 196 710 6 3 )
四川省教委重点科研基金资助项目
关键词
格
完备格
子环
幂集合
有理数域
Lattice
Complete lattice
Complete lattice anti isomorphism
Subring
Power set
